Metamath Proof Explorer

Theorem f1fn

Description: A one-to-one mapping is a function on its domain. (Contributed by NM, 8-Mar-2014)

Ref Expression
Assertion f1fn 
|- ( F : A -1-1-> B -> F Fn A )

Proof

Step Hyp Ref Expression
1 f1f 
 |-  ( F : A -1-1-> B -> F : A --> B )
2 1 ffnd 
 |-  ( F : A -1-1-> B -> F Fn A )